Prepare the canner and jars. Wash the jars, lids, and bands in hot, soapy water. Place the jars on the rack in a water bath canner and keep them hot in gently simmering water. Prepare the lids according to the manufacturer’s instructions.
Peel and cut the tomatoes. Wash the tomatoes and remove bruised or discolored areas. Place tomatoes in boiling water for 30 to 60 seconds, or until the skins split. Transfer immediately to ice water. Slip off the skins, remove the cores, and cut the tomatoes into quarters.
Heat the tomatoes. Add approximately one-sixth of the tomatoes to a large stainless steel pot. Heat quickly while crushing them with a potato masher or wooden spoon to release their juice. Once boiling, gradually add the remaining tomato pieces while stirring constantly. Keep the mixture boiling while adding the tomatoes, then boil gently for 5 minutes.
Fill the jars. Add 2 tablespoons bottled lemon juice or ½ teaspoon citric acid to each hot quart jar. Add 1 teaspoon canning salt, if desired. Ladle in the hot tomatoes and juice, leaving ½ inch of headspace. Remove air bubbles and adjust the headspace with additional hot tomatoes if needed. Wipe the rims, apply the lids, and tighten the bands until fingertip tight.
Process the tomatoes. Place the jars in the water bath canner with 1 to 2 inches of water covering the lids. Bring the water to a full boil, cover, and process quart jars for 45 minutes or pint jars for 35 minutes at elevations up to 1,000 feet. Adjust the time for higher elevations. (see notes below)
Cool and store. Turn off the heat, remove the canner lid, and wait 5 minutes. Lift the jars straight out and place them on a towel. Cool undisturbed for 12 to 24 hours. Check the seals, remove the bands, label the jars, and store them in a cool, dark, dry place.